GCD of 474, 652, 380, 739 Calculator

Given Input numbers are 474, 652, 380, 739

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 474, 652, 380, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 652, 380, 739 is 1.

Therefore, GCD of numbers 474, 652, 380, 739 is 1

Given Input Data is 474, 652, 380, 739

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 739 is 739

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(474, 652) = 154524

GCD(474, 652) = ( 474 x 652 ) / 154524

GCD(474, 652) = 309048 / 154524

GCD(474, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 474, 652, 380, 739 is 1

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1. What is the GCD of 474, 652, 380, 739?

GCD of 474, 652, 380, 739 is 1

2. Where do I get the detailed procedure to find GCD of 474, 652, 380, 739?

You can find a detailed procedure to find GCD of 474, 652, 380, 739 on our page.

3. How to find GCD of 474, 652, 380, 739 on a calculator?

You can find the GCD of 474, 652, 380, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.